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Three charges +q, -q and +q are kept at ...

Three charges +q, -q and +q are kept at the corners of an equilateral triangle of side d. Find the resultant electric force on a charge +q placed at the centroid O of the triangle.

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To solve the problem of finding the resultant electric force on a charge \( +q \) placed at the centroid \( O \) of an equilateral triangle with charges \( +q \), \( -q \), and \( +q \) at its vertices, follow these steps: ### Step-by-Step Solution: 1. **Identify the Geometry and Charges:** - Consider an equilateral triangle with vertices \( A \), \( B \), and \( C \). - Place charges \( +q \) at \( A \), \( -q \) at \( B \), and \( +q \) at \( C \). - Place a charge \( +q \) at the centroid \( O \). ...
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Knowledge Check

  • Consider three charges q_(1),q_(2) and q_(3) each equal to q , at the vertices of an equilateral triangle of side l. What is the force on a charge Q placed at the centroid of the triangle?

    A
    `(3Qq)/(4piepsilon_(0)l^(2))`
    B
    `(2Qq)/(4piepsilon_(0)l^(2))`
    C
    `(Qq)/(2piepsilon_(0)l^(2))`
    D
    zero

  • Consider the charges q,q and -q placed at the vertices of an equilateral triangle of each side l. What is the force on each charge ?

    A
    `q^(2)/(4sqrt2piepsilon_(0)l^(2))`
    B
    `(-q^(2))/(4piepsilon_(0)l^(2))`
    C
    `(q^(2))/(4piepsilon_(0)l^(2))`
    D
    zero

  • Electric charges q, q, –2q are placed at the corners of an equilateral triangle ABC of side l. The magnitude of electric dipole moment of the system is

    A
    ql
    B
    `sqrt(3)ql`
    C
    zero
    D
    4ql

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